153941040 has 480 divisors, whose sum is σ = 633292800. Its totient is φ = 34214400.

The previous prime is 153941033. The next prime is 153941041. The reversal of 153941040 is 40149351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153940995 and 153941013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153941041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4965825 + ... + 4965855.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^153941040 is an apocalyptic number.

153941040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

153941040 is an abundant number, since it is smaller than the sum of its proper divisors (479351760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153941040 is a wasteful number, since it uses less digits than its factorization.

153941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153941040 is about 12407.2978524738. The cubic root of 153941040 is about 535.9424271718.

The spelling of 153941040 in words is "one hundred fifty-three million, nine hundred forty-one thousand, forty".